138826314 has 48 divisors (see below), whose sum is σ = 330052320. Its totient is φ = 41822880.

The previous prime is 138826313. The next prime is 138826319. The reversal of 138826314 is 413628831.

138826314 is a `hidden beast` number, since 1 + 388 + 263 + 14 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138826313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33484 + ... + 37400.

It is an arithmetic number, because the mean of its divisors is an integer number (6876090).

Almost surely, 2^138826314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138826314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165026160).

138826314 is an abundant number, since it is smaller than the sum of its proper divisors (191226006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138826314 is a wasteful number, since it uses less digits than its factorization.

138826314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4115 (or 4112 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138826314 is about 11782.4578929865. The cubic root of 138826314 is about 517.7942987511.

The spelling of 138826314 in words is "one hundred thirty-eight million, eight hundred twenty-six thousand, three hundred fourteen".